Vergleich von Bewegungskurven

Version Stand
22.11.2021
Andreas Jäger

Stand

1

1

2

3

4

5

-1

-2

-3

-4

-5

-5

-4

-3

-2

-1

1

2

3

4

5

n_1 =

φ_{01}=

T_1 =

n_2 =

2

3

4

1

2

3

4

5

6

1

2

3

4

5

6

0

0

5

6

7

x(t)

ta1 = 4 (slider from -5 to 5, step 0.1)
tv1: 2
tx1 = 2 (slider from 0 to 3, step 0.01)
n1: 1
n2: 0
TT2: 8 + 3.1415
T2: TT2 - 8
T1: 3.1415
bVersion = false
phi1: 0
w1: (2 * π / T1)
x01: 2
x001: 6
phi2: 0
x002: 6
w2: (2 * π / T2)
x02: 2
y01 = 0 (slider from -5 to 5, step 0.1)
y02: 0
x1(x) = If[0 ≤ x ≤ x001, y01 + Derivative[(x01 * sin((w1 * x) + phi1)), n1]]
xAchse1 = Vector((0, 0), (6.5, 0))
yAchse1 = Vector((0, -5), (0, 5))
phi01: 0
xP: 8
PP: (xP, 0)
x2(x) = If[xP ≤ x ≤ xP + x002, y02 + Derivative[(x02 * sin((w2 * (x - xP)) + phi2)), n2]]
Text2: "" + (LaTeX[If[n2 ≟ 0, "{x\over m}", If[n2 ≟ 1, "{\ v\ \over {m\over s}}", If[n2 ≟ 2, "{\ a\ \over {m\over s^2}}"]]]]) + ""
Text1: "" + (LaTeX[If[n1 ≟ 0, "{x\over m}", If[n1 ≟ 1, "{\ v\ \over {m\over s}}", If[n1 ≟ 2, "{\ a\ \over {m\over s^2}}"]]]]) + ""
xAchse2 = Vector((xP, 0), (xP + 6.5, 0))
yAchse2 = Vector((xP, -5), (xP, 5))
PT1: (T1, 0)
T22 = NaN
PT2: (TT2, 0)
bS = false
v01 = 5.155459861689135
Eingabefeld1 = Textfield(n1)
Eingabefeld2 = Textfield(phi1)
Eingabefeld3 = Textfield(T1)
Eingabefeld4 = Textfield(n2)
auf: 1
l1 = Sequence(Segment[(0, i), (6, i)], i, -5, 5, 0.5)
l2 = Sequence(Segment[(xP, i), (xP + 6, i)], i, -5, 5, 0.5)
l3 = Sequence(Segment[(i, -5), (i, 5)], i, 0, 6, 0.5)
l4 = Sequence(Segment[(i + xP, -5), (i + xP, 5)], i, 0, 6, 0.5)
Text36: "x_2(t) = " + (LaTeX[x02]) + "\ m\cdot Sin(" + (LaTeX[w2]) + "{t\over s}+" + (LaTeX[phi2]) + ")"
Text35: "x_1(t) = " + (LaTeX[x01]) + "\ m \cdot Sin(" + (LaTeX[w1]) + "{t\over s}+" + (LaTeX[phi1]) + ")"
a: false
WT1 = NaN
Text37: "" + (LaTeX[If[T1 ≟ T2 ∧ x01 ≟ x02 ∧ phi1 ≟ phi2, "x_1(t) = x_2(t)", "x_1(t)\not= x_2(t)"]]) + "\cr\ " + (LaTeX[If[T1 ≠ T2, "T_1 \not=T_2", "\ "]]) + "\cr\ " + (LaTeX[If[x01 ≠ x02, "x_{01} \not=x_{02}", "\ "]]) + "
\cr\ " + (LaTeX[If[phi1 ≠ phi2, "\varphi_{1} \not=\varphi_{2}", "\ "]]) + ""